activity
20142026
most citedIR-fixed Euclidean vacuum for linearized gravity on de Sitter space

1 citations · 3 across the 3 of their papers we have counts for

collaborators

5 papers

math-ph2026

Hadamard states for linearized gravity on asymptotically flat spacetimes

Christian Gérard, Mikhail Molodyk, Michał Wrochna

We consider the quantization of linearized Einstein equations on 4-dimensional asymptotically flat spacetimes. We prove the existence of fully gauge invariant Hadamard states in th…

math-ph2024★ 1 cited

IR-fixed Euclidean vacuum for linearized gravity on de Sitter space

Christian Gérard, Michał Wrochna

We consider the Euclidean vacuum for linearized gravity on the global de Sitter space, obtained from the Euclidean Green's function on the 4-sphere. We use the notion of Calderón p…

math-ph2023★ 1 cited

Hadamard states for linearized gravity on spacetimes with compact Cauchy surfaces

Christian Gérard

We consider the quantization of linearized Einstein equations. We prove the existence of Hadamard states in the harmonic gauge on any Einstein spacetime with compact Cauchy surface…

math.SP2023★ 1 cited

Mourre theory for analytically fibered operators revisited

Francis Nier, Christian Gérard

About 25 years ago our article "Mourre theory for analytically fibered operators" was published in J. of Functional Analysis. This article proposed a general construction of a conj…

math-ph2014

Hadamard states for the linearized Yang-Mills equation on curved spacetime

Christian Gérard, Michal Wrochna

We construct Hadamard states for the Yang-Mills equation linearized around a smooth, space-compact background solution. We assume the spacetime is globally hyperbolic and its Cauch…